{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(\"1111\",figsize=(8,8))\n",
    "plt.subplot(221)\n",
    "plt.title(\"1\")\n",
    "plt.plot(range(12))\n",
    "plt.subplot(222)\n",
    "plt.plot(range(12))\n",
    "plt.title(\"2\")\n",
    "plt.subplot(223)\n",
    "plt.plot(range(12))\n",
    "plt.title(\"3\")\n",
    "plt.subplot(224)\n",
    "plt.title(\"4\")\n",
    "plt.plot(range(12))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
